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131343013423040 = 26517191270733489
BaseRepresentation
bin11101110111010010101101…
…101010001010011111000000
3122020001021021102201000210012
4131313102231222022133000
5114203410442414014130
61143202051500324052
736444135212353646
oct3567225552123700
9566037242630705
10131343013423040
1138939293a76821
12128931a5543628
135839792b36023
142461070213196
15102b7ee7eb995
hex7774ada8a7c0

131343013423040 has 112 divisors (see below), whose sum is σ = 348587610976800. Its totient is φ = 46844319301632.

The previous prime is 131343013423019. The next prime is 131343013423043. The reversal of 131343013423040 is 40324310343131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 131343013422988 and 131343013423006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131343013423043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 635263385 + ... + 635470104.

Almost surely, 2131343013423040 is an apocalyptic number.

131343013423040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131343013423040 is an abundant number, since it is smaller than the sum of its proper divisors (217244597553760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131343013423040 is a wasteful number, since it uses less digits than its factorization.

131343013423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270733542 (or 1270733532 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 131343013423040 its reverse (40324310343131), we get a palindrome (171667323766171).

The spelling of 131343013423040 in words is "one hundred thirty-one trillion, three hundred forty-three billion, thirteen million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 64 68 76 80 85 95 136 152 160 170 190 272 304 320 323 340 380 544 608 646 680 760 1088 1216 1292 1360 1520 1615 2584 2720 3040 3230 5168 5440 6080 6460 10336 12920 20672 25840 51680 103360 1270733489 2541466978 5082933956 6353667445 10165867912 12707334890 20331735824 21602469313 24143936291 25414669780 40663471648 43204938626 48287872582 50829339560 81326943296 86409877252 96575745164 101658679120 108012346565 120719681455 172819754504 193151490328 203317358240 216024693130 241439362910 345639509008 386302980656 406634716480 410446916947 432049386260 482878725820 691279018016 772605961312 820893833894 864098772520 965757451640 1382558036032 1545211922624 1641787667788 1728197545040 1931514903280 2052234584735 3283575335576 3456395090080 3863029806560 4104469169470 6567150671152 6912790180160 7726059613120 8208938338940 13134301342304 16417876677880 26268602684608 32835753355760 65671506711520 131343013423040